Lv. Hoang et Nt. Giang, ON THE GREEN-FUNCTION FOR A HYDROGEN-LIKE ATOM IN THE DIRAC MONOPOLE FIELD PLUS THE AHARONOV-BOHM FIELD, Journal of physics. A, mathematical and general, 26(13), 1993, pp. 3333-3338
The connection between the Green function for an isotropic harmonic os
cillator in two-dimensional complex space and that for a hydrogen-like
atom in the Dirac monopole field plus the Aharonov-Bohm field is esta
blished by using path integrals. The connection found provides a simpl
e method for constructing the Green function for atomic systems.